Suppose you want to study the number of hours of sleep you get each evening. To do so, you look at the calendar and randomly select 10 days out of the next 300 days and record the number of hours you sleep.
(a) Explain why number of hours of sleep in a night by you is a random variable.
(b) Is the random variable “number of hours of sleep in a night” quantitative or qualitative?
(c) After you obtain your ten nights of data, you compute the mean number of hours of sleep. Is this a statistic or a parameter? Why?
(d) Is the mean number of hours computed in part (c) a random variable? Why? If it is a random variable, what is the source of variation?